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Finding the Third Proportional to 238,517,469 and 515,331,414

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Solution

The third proportional to 238,517,469 and 515,331,414 is: 1,113,404,680.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,517,469 : 515,331,414 = 515,331,414 : x
  2. Step 2: Convert to fraction form
    238,517,469/515,331,414 = 515,331,414/x
  3. Step 3: Cross multiply
    238,517,469x = 515,331,414 × 515,331,414
  4. Step 4: Simplify right side
    238,517,469x = 265,566,466,255,239,392
  5. Step 5: Solve for x
    x = 265,566,466,255,239,392/238,517,469
  6. Step 6: Final answer
    x = 1,113,404,680.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.